3 papers
math.SG2021
Lorentzian distance functions in contact geometry
Jakob Hedicke
We define a Lorentzian distance function on the group of contactomorphisms of a closed contact manifold. This distance function is continuous with respect to the Hofer norm on the…
math.DG2020
The contact structure on the space of null geodesics of causally simple spacetimes
Jakob Hedicke
It is shown that the space of null geodesics of a star-shaped causally simple subset of Minkowski space is contactomorphic to the canonical contact structure in the spherical cotan…
math.DG2019
Conformally embedded spacetimes and the space of null geodesics
Jakob Hedicke, Stefan Suhr
It is shown that the space of null geodesics of a causally simple Lorentzian manifold is Hausdorff if it admits an open conformal embedding into a globally hyperbolic spacetime. Th…